So, I have a word problem that I need to use the formula $A = Pe^{rt}$ to solve...

Suppose $2000 is invested at an interest rate 2.75% compounded continuously. What is the balance in the account after 4 years? Round answer to the nearest cent.

I know that...
$$
P = \$2000\\
R = 2.75\%\\
T = 4
$$

What I'm trying to do is calculate this using my TI-83 and I believe the way to do this is by first multiplying 2.75(4), then press the $e^x$ button, plug in my answer, then multiply it by $2000$. That's my understanding of it, but what's the actual correct way to insert this problem into my calculator?

You wrote 2.75% above, but 2.78 in the description. Also, you need to make sure of precedence and that can vary on different implementations (and calculators). Is your equation p*(e^r)*t or pe^(rt)- as this makes a huge difference. Does this solve your problem?
–
AmzotiOct 5 '12 at 2:21